Pith Number

pith:SNEM3DPF

pith:2016:SNEM3DPF5KK2XVGUKVKVMFZKYA

not attested not anchored not stored refs pending

Extragradient Method in Optimization: Convergence and Complexity

Bruce W. Suter, Edouard Pauwels, Emile Richard, Trong Phong Nguyen

arxiv:1609.08177 v5 · 2016-09-26 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNEM3DPF5KK2XVGUKVKVMFZKYA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:28:07.237925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9348cd8de5ea95abd4d4555556172ac02f885cc8f08b84c10fab01afeeaa715b

Aliases

arxiv: 1609.08177 · arxiv_version: 1609.08177v5 · doi: 10.48550/arxiv.1609.08177 · pith_short_12: SNEM3DPF5KK2 · pith_short_16: SNEM3DPF5KK2XVGU · pith_short_8: SNEM3DPF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SNEM3DPF5KK2XVGUKVKVMFZKYA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9348cd8de5ea95abd4d4555556172ac02f885cc8f08b84c10fab01afeeaa715b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03def6b2605a9384ac9a7506d5effca42d7f9f4456f0667ee8dbdffbe528310",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-26T20:18:17Z",
    "title_canon_sha256": "e914917391c81150737cbff5cf1ddd5b939ea721a8a949a9e3108fa3f66db48f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08177",
    "kind": "arxiv",
    "version": 5
  }
}